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math.CO2023
Characterizing traces of processes defined by precedence and response constraints: an order theory approach
Mark Dukes, Anton Sohn
In this paper we consider a general system of activities that can, but do not have to, occur. This system is governed by a set containing two types of constraints: precedence and r…
math.CO2023
A bump statistic on permutations resulting from the Robinson-Schensted correspondence
Mark Dukes, Andrew Mullins
In this paper we investigate a permutation statistic that was independently introduced by Romik in 2005. This statistic counts the number of bumps that occur during the execution o…